a train 150 metre long is running at 72 kilometre per hour it crosses a bridge in 13 seconds find the length of the bridge​

Answers

Answer 1

Answer:

Length of the bridge = 110 m

Step-by-step explanation:

Let the length of the bridge be x m.

Total distance covered by train in 13 sec = length of train + length of bridge = (150 + x) m

[tex]speed \: of \: train \\ = 72 \: kmph \\ = 72 \times \frac{1000}{3600} \: mps \\ = 20 \: mps \\ \because \: distance = speed \times time \\ \therefore \: 150 + x = 20 \times 13 \\ \therefore \: 150 + x = 260 \\ \therefore \:x = 260 - 150 \\ \huge \red{ \boxed{\therefore \:x = 110 \: m}}[/tex]

mps means meter per second


Related Questions

What is the end behavior of the graph of the polynomial function f(x)=3x^6+30x^5+75x^4

Answers

Answer:

Step-by-step explanation:

The answer is (6y+5x)-(5y=7u)

If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the value of n for which xn + xn+1 = 89 ?

Answers

Answer:

11

Step-by-step explanation:

Looking at Fibonacci numbers ;

We have:

Than X1 =1 ; X2 = 1; X3 = 2

Xn+1 = Xn + Xn-1

X3 = X2 + X1 = 1+1 =2; X4 = X3 + X2 = 2 +1 = 3; X5= X4+X3 = 3+2 = 5; X6 = X5 + X4 = 5 + 3 = 8; X7 = X6 +X5 = 8 +5 = 13; X8 = X7 + X6 = 13 + 8 = 21; X9 = X8 + X7 = 21+ 13 = 34 ; X10 = X9 + X8 = 34 +21 = 55 ; X11 = X10 + X9 = 55 +34 = 89

We see that ; X11 gives 89 so the value of n = 11

Convert 63 degrees C to
degrees F.

Answers

Celcius to fahrenheit conversion is just using this formula

(x°C × 9/5) + 32 = y°F

where x is the degrees in celcius and y is the degrees in fahrenheit.

Le'ts plug in 63 into the equation

63 x 9/5=113.4+32=145.4 degrees fahrenheit.

A builder buys a piece of property with 16.1 acres of land to develop a new set of walking trails and baseball fields. The builder plans to use 0.33 of the property for baseball fields. How many acres will the builder use for the baseball fields?

Answers

Answer:

The builder will use 5.28 acres of land for baseball fields.

Step-by-step explanation:

This question can be solved using a rule of three.

The property has 16.1 acres of land. This is 100% = 1. 33% will be used for baseball fields. How much is 0.33?

16.1 - 1

x - 0.33

[tex]x = 16*0.33 = 5.28[/tex]

The builder will use 5.28 acres of land for baseball fields.

Solve: x=4+(4x-4)1/2 x = 2
x = 10
x = 2 or x = 10
no real solution

Answers

Answer:

No real solution- Not any of the options anyway

Step-by-step explanation:

So I replaced the x's with the two possible equations and then tried to solve...

2=4+(4x2-4)1/2

2=4+(8-4)1/2

2=4+(4)1/2

2=8(1/2)

2=4   Which is not true

10=4+(4x10-4)1/2

10=4+(40-4)1/2

10=4+36(1/2)

10=40(1/2)

10=20 Which is also not true

Therefore, there is no real solution

Answer:

B: x = 10 on Edge 2020

Step-by-step explanation:

plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday.

Answers

Answer:

x=9

Step-by-step explanation:

first you would distribute the -4 and the -12

-24x-12=-12x-120

Then you would add 120 to both sides

-24x+108=-12x

Then add 24x to both sides

108=12x

Then divide both sides by 12

x=9

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

[tex] - 4(6x + 3) = - 12(x + 10) \\ - 24x - 12 = - 12x - 120 \\ - 24x + 12x = 12 - 120 \\ - 12x = - 108 \\ \frac{ - 12x}{ - 12} = \frac{ - 108}{ - 12} \\ x = 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Drag each tile to the correct location. Not all tiles will be used.

The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?

1
5
8
25
40
64
125
512

Answers

Answer:

25:64

Step-by-step explanation:

surface : 4×pi×R^2

R1 = 5x

R2 =8x

4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64

To the nearest tenth, find the area of a circle with d = 15km. Use 3.14 for . Remember: you must find the radius before you use the formula

Answers

Answer:

radius r = 7.5 km

diameter d = 15 km

circumference C = 47.1238898 km

area A = 176.714587 km2

Step-by-step explanation:

math

Whats happens when the value of the expression c + 2 as c increase

Answers

Answer:

c+2 increases linearly with c. That means that if c increases by 1, c+2 will increase by 1; if by 2, c+2 will increase by 2.

Step-by-step explanation:

Gavin, Colin and Dan share some sweets in the ratio 7:3:2. Gavin gets 75 more sweets than Dan. How many sweets does Colin get?

Answers

Answer:

45 sweets.

Step-by-step explanation:

Gavin gets 7(7+3+2) = 7/12 of the sweets.

Dan gets  2 /12  so   Gavin gets 7/2 times as much as Dan

Let Dan get x sweets then

x + 75 = 7x /2

7x/2 - x = 75

5x/2 = 75

x = 75 * 2/5 = 30 sweets.

So Dan gets 30 sweets , Gavin gets 105 sweets and  Colin gets  3/2 * 30

= 45 sweets.

Find the slope-intercept form of the equation of the line
passes through the point (-5, -4) and has slope 4.​

Answers

Answer:

y= 4x +16

Step-by-step explanation:

slope-intercept form:

y=mx+c, where m is the gradient and c is the y-intercept

Given that the slope is 4, m=4.

y= 4x+c

To find the value of c, substitute a coordinate.

When x= -5, y= -4,

-4= 4(-5) +c

-4= -20 +c

c= 20 -4

c=16

Thus, the equation of the line is y= 4x+16.

Students at a certain school were​ surveyed, and it was estimated that 20​% of college students abstain from drinking alcohol. To estimate this proportion in your​ school, how large a random sample would you need to estimate it to within 0.08 with probability 0.95​, if before conducting the study​ (a) you are unwilling to predict the proportion value at your school and​ (b) you use the results from the surveyed school as a guideline.

Answers

Answer:

a) A sample size of at least 251 students is needed.

b) A sample of at least 97 students is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

(a) you are unwilling to predict the proportion value at your school

We need a sample size of at least n.

n is found when M = 0.08.

We wont predict a proportion value for the school, so we use [tex]\pi = 0.5[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.5*0.5}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5*0.5}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.5*0.5}}{0.08})^{2}[/tex]

[tex]n = 150.1[/tex]

Rounding up

A sample size of at least 251 is needed.

(b) you use the results from the surveyed school as a guideline.

Now we have that [tex]\pi = 0.2[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.2*0.8}}{0.08})^{2}[/tex]

[tex]n = 96.04[/tex]

Rounding up

A sample of at least 97 students is needed.

What is the answer for numbers 9 and 10

Answers

Answer:

I think they're both trick questions because there are no like terms

Step-by-step explanation:

9) no like terms
10) no like terms

write 820.341 in scientific notation​

Answers

It is =8.20341 x 10^2

write Help Marshmello i wasn't born yesterday.

Answers

Answer:

1/4

Step-by-step explanation:

To find the slope given two points

m = (y2-y1) / (x2-x1)

   = (4-3)/(5-1)

   = 1/4

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{3 - 4}{1 - 5} \\ \frac{ - 1}{ - 4} \\ = \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is the area of circle with a diameter of 22 ft? (use 3.14 for pi; show your work in numbers)

Answers

Answer:

69.08

Step-by-step explanation:

π×d

3.14×22=69.08

When the volume of a gas is

changed from mL to 852 mL,

the temperature will change from

315°C to 452°C.

Answers

Answer: The initial volume is 593.76mL

Step-by-step explanation:

As you do not say anithing about the pressure, i guess that the pressure remains constant.

If the gas is an ideal gas, we have:

P*V = n*R*T

where P is pressure, n is number of moles and R is a constant.

Now, initially we have:

P*Vi = n*R*315°C

finally we have:

P*825mL = n*R*452°C

Now we can take the quiotient of those two equations and get:

(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)

Now we have:

Vi/852mL = 315/452

Vi =  (315/452)*852mL = 593.76mL

So when we expand the gas at constant pressure, we increase the temperature.  

Answer:

691 mL

Step-by-step explanation:

use elimination to solve 2x+y=17,y=4x+10

Answers

Answer:

gay

Step-by-step explanation:

hha

What is 0.05% written as a decimal

Answers

Answer:

Any percentage cam be written as a part of 100

0.05% = 0.05/100 = 0.0005

I hope this helps you

Answer: .0005

Step-by-step explanation:

Move 2 spaces to the left

Please help it will be fast and easy

Answers

Answer:

B

Step-by-step explanation:

36 candy

6 different types

if I pick random I'll get 1 of 6

.................................

Help me please and thank you

Answers

Answer:

increasing

Step-by-step explanation:

y = 1/2x +2

This function is increasing because the slope is positive.

plz help me this is hard for me​

Answers

Answer:

it is so simple lol

Step-by-step explanation:

just know that that angle is 90 degrees which means that you should do 90-41

Answer:

49

Step-by-step explanation:

90*-41*=49

Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in. Show your work

Answers

The question is not complete. The complete question is;

Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in.

1) What is the area of triangle RST?

2)What is the ratio of area of  triangle RST to area of triangle RMT?

3) What is the area of rectangle RSMN to area of triangle TSN?

Diagram is attached.

Answer:

1) 36 sq.in

2) 2:1

3) 4:1

Step-by-step explanation:

1) Area of triangle is; ½ × base × height.

For triangle RST, base = 9 in and height = 8 in

Thus, area of triangle RST = ½ × 9 × 8

= 36 sq.in

2)Area of triangle RMT = ½ × 8 × 9/2

= 18 sq.in

Ratio of area of RST to area of RMT = 36/18 = 2:1

3)Area of triangle TSN = ½ × 8 × 9/2 = 18 sq.in

Area of Rectangle RSNM = Length x width = 9 × 8 = 72 sq.in

Ratio of Area of Rectangle RSNM to Area of triangle TSN  = 72/18 = 4:1

How many points appears in this figure ?

Answers

Answer:

5?

Step-by-step explanation:

I think you would count the middle point. But i don't completely know...

solve 5tanx= 5sqrt3 for 0

Answers

Answer:

60 degrees

Step-by-step explanation:

5 tan x = 5 root 3

tan x = root 3

sin x / cos x = root 3

(root(3) / 2) / (1/2) = root 3

sin x = root(3)/2

cos x = 1/2

x = 60 degrees

Determine if the set is a Pythagorean triple

Answers

Answer:

Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.

Решить систему методом сложения:{4x-6y=2
2x-y=5

Answers

Answer:

[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]

Step-by-step explanation:

The addition method (elimination method) allows us to combine two equations in such a way that the resulting equation has only one variable. Then we can use simple algebraic methods to solve that variable

Let:

[tex]4x-6y=2\hspace{10}(1)\\\\and\\\\2x-y=5\hspace{15}(2)[/tex]

Let's multiply (2) by -2:

[tex]-2*(2):\\\\2x(-2)-y(-2)=5(-2)\\\\-4x+2y=-10\hspace{12}(-2*(2))[/tex]

Now, add (1) and (-2*(2)):

[tex](1)+(-2*(2)):\\\\4x+(-4x)-6y+(2y)=2+(-10)\\\\-4y=-8[/tex]

Hence, solving for y:

[tex]y=\frac{-8}{-4} =2[/tex]

Replacing y into (2):

[tex]2x-(2)=5[/tex]

Solving for x:

[tex]2x=5+2\\\\2x=7\\\\x=\frac{7}{2} =3.5[/tex]

Therefore:

[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]

100 POINTS PLEASE ANSWER IM BEGGING YOU!!!!!!

Answers

Answer:

[tex]4 \sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{80}[/tex]

80 can be written as a product of 16 and 5.

[tex]\sqrt{16 \times 5}[/tex]

Distribute the square root to both terms.

[tex]\sqrt{16} \times \sqrt{5}[/tex]

16 is a perfect square 4×4.

[tex]4 \times \sqrt{5}[/tex]

Answer:

4 * sqrt(5)

Step-by-step explanation:

sqrt(80)

sqrt(16*5)

We know that sqrt (ab) = sqrt(a) sqrt(b)

sqrt(16) sqrt(5)

4 * sqrt(5)

Find the number of unique permutations of the letters in the word: EXTENT
720
180
900
36

Answers

Answer:

180

Step-by-step explanation:

A word has n letters.

There are m repeating letters, each of them repeating [tex]r_{0}, r_{1}, ..., r_{m}[/tex] times

So the number of distincts ways the letters can be permutated is:

[tex]N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}[/tex]

In this question:

Extent has 6 letters.

E and r repeat 2 times. So

[tex]N = \frac{6!}{2!*2!} = 180[/tex]

So the answer is 180.

Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answers

Answer:

3

Step-by-step explanation:

because is a hcsbjmcscin C d

Answer:

the right answer is x = 3 and x= -1/2

Step-by-step explanation:

I took the test.

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Click on the blue box to choose the correct present and past participles of the verb given.teachPresent participle: teaches, teaching, teach or teached????Past participle: teached, taughten, taught or did teach??? Gregory wanted to know what type of food spiders prefer to eat, so he performed two different investigations.In one investigation, he observed a spider in his backyard every day for thirty days. He wrote down what the spider ate each day.In another investigation, he placed the same type of spider in an aquarium that recreated a portion of his backyard environment. Each day, for thirty days, Gregory placed four different items in the aquariuma leaf, a cricket, a fly, and a beetle. Then, he wrote down which item the spider chose to eat first.Which investigation produced the most reliable results?A. Neither investigation would produce useful data.B. The first investigation would produce more reliable results because it only required daily observation.C. 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